Quote:
Originally Posted by loramin
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I think you can't, because you don't have enough info. But stats isn't my forte so hopefully someone else has a better answer.
The way I see it ... the mean is 153.2 lbs right? That could be because there was one insanely fat fuck on the heavy end, or it could be a lot of "on the heavier side but not that heavy" people on that end. Same deal on the other end, you could have like three bulimic people who weigh as much as a concentration camp survivor, or you could just have a lot fairly fit people. Either case could give you that same mean of 153.2 but your placement will be different depending.
The only way to truly know where you place in a dataset is to have that whole dataset. That being said, with the percentiles I would imagine you could guess pretty close to the correct answer by using math ... but again stats aren't my strong suit so someone else would have to provide that math.
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This is correct, the distribution could be bimodal, steep, shallow, you don't know, and your rank/percentile depends on that. Think you need access to the data set, and with N=thousands, a computer/spreadsheet to calculate this, because it involves ranking the data.
Even if you had just the standard deviation you could assume a normal curve and estimate your percentile based on how many standard deviations you are from the mean, but you don't have that.